8th Math Slope-Intercept Form

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope (m) represent in a linear equation?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What does the y-intercept (b) represent in a linear equation?

Back

The y-intercept (b) is the point where the line crosses the y-axis, represented as (0, b).

Front

How do you find the y-intercept from the equation y = -2/3x + 2?

Back

The y-intercept is 2, represented as the ordered pair (0, 2).

Front

What is the slope of the line represented by the equation y = 1/3x - 3?

Back

The slope of the line is 1/3.

Front

How can you determine the equation of a line from a graph?

Back

Identify the slope and y-intercept from the graph, then use the slope-intercept form y = mx + b.

Front

What is the slope of the line represented by the equation y = -3/2x + 4?

Back

The slope of the line is -3/2.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates a horizontal line.

Front

If a line has an undefined slope, what does that indicate about the line?

Back

An undefined slope indicates a vertical line.

Front

How do you convert the equation y = 2x + 3 to slope-intercept form?

Back

The equation is already in slope-intercept form: y = mx + b.